Results 41 to 50 of about 1,211 (149)
New Type of Degenerate Changhee–Genocchi Polynomials
Axioms, 2022 A remarkably large number of polynomials and their extensions have been presented and studied. In this paper, we consider a new type of degenerate Changhee–Genocchi numbers and polynomials which are different from those previously introduced by Kim.
Maryam Salem Alatawi, Waseem Ahmad Khan
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Yet Another Triangle for the Genocchi Numbers
European Journal of Combinatorics, 2000 A permutation \(\pi= a_1a_2\dots a_n\) is exceedance-alternating, if it satisfies the following conditions: \(a_i>i\), if \(i\) is odd and \(i< n\); and \(a_i\leq i\), if \(i\) is even. For \(2\leq k\leq n\), let \(E^k_n\) denote the number of exceedance-alternating permutations of \(S_n\) with \(a_1= k\).
Ehrenborg, Richard +1 more
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The Matrix Ansatz, Orthogonal Polynomials, and Permutations [PDF]
, 2010 In this paper we outline a Matrix Ansatz approach to some problems of combinatorial enumeration. The idea is that many interesting quantities can be expressed in terms of products of matrices, where the matrices obey certain relations. We illustrate this
Corteel, Sylvie +2 more
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On the Barnes' Type Related to Multiple Genocchi Polynomials on
Abstract and Applied Analysis, 2012 Using fermionic -adic invariant integral on , we construct the Barnes' type multiple Genocchi numbers and polynomials. From those numbers and polynomials, we derive the twisted Barnes' type multiple Genocchi numbers and polynomials.
J. Y. Kang +3 more
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Identities on products of Genocchi numbers [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Note on Eulerian Polynomials
Abstract and Applied Analysis, 2012 We study Genocchi, Euler, and tangent numbers. From those numbers we derive some identities on Eulerian polynomials in connection with Genocchi and tangent numbers.
D. S. Kim +3 more
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A Note on Some Properties of the Weighted 𝑞-Genocchi Numbers and Polynomials
Journal of Applied Mathematics, 2011 We consider the weighted 𝑞-Genocchi numbers and polynomials. From the construction of the weighted 𝑞-Genocchi numbers and polynomials, we investigate many interesting identities and relations satisfied by these new numbers and polynomials.
L. C. Jang
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A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALS [PDF]
Bulletin of the Korean Mathematical Society, 2010 Let us give some notations for \(q\)-series: \[ \left[ x\right] _{q}=\frac{1-q^{x}}{1-q}, \] \[ \left[ m\right] _{q}!=\left[ m\right] _{q}\left[ m-1\right] _{q}...\left[ m-2\right] _{q}\left[ 1\right] _{q}, \] and \[ \left(\begin{matrix} m \\ k \end{matrix}\right) _{q}=\frac{\left[ m\right] _{q}\left[ m-1\right] _{q}\left[ m-2\right] _{q}...\left[ m-k ...
Kurt, Veli, Cenkci, Mehmet
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Various Types of q-Differential Equations of Higher Order for q-Euler and q-Genocchi Polynomials
Mathematics, 2022 One finds several q-differential equations of a higher order for q-Euler polynomials and q-Genocchi polynomials. Additionally, we have a few q-differential equations of a higher order, which are mixed with q-Euler numbers and q-Genocchi polynomials ...
Cheon-Seoung Ryoo, Jung-Yoog Kang
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On generalized degenerate Euler–Genocchi polynomials
Applied Mathematics in Science and Engineering, 2023 We introduce the generalized degenerate Euler–Genocchi polynomials as a degenerate version of the Euler–Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler–Genocchi polynomials of order α ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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